GLOBAL WELL-POSEDNESS OF A 3D MHD MODEL IN POROUS MEDIA Academic Article

abstract

• In this paper we show the global well-posedness of solutions to a three-dimensional magnetohydrodynamical (MHD) model in porous media. Compared to the classical MHD equations, our system involves a nonlinear damping term in the momentum equations due to the "Brinkman-Forcheimer-extended-Darcy" law of flow in porous media.

published proceedings

• JOURNAL OF GEOMETRIC MECHANICS

author list (cited authors)

• Titi, E. S., & Trabelsi, S.

citation count

• 13

complete list of authors

• Titi, Edriss S||Trabelsi, Saber

publication date

• May 2019

publisher

• American Institute of Mathematical Sciences (AIMS)  Publisher

published in

• Journal of Geometric Mechanics  Journal

keywords

• 3d Navier-stokes Equations
• Brinkman-forchheimer-extended-darcy Model
• Magneto-hydrodynamics
• Porous Media

Digital Object Identifier (DOI)

• 10.3934/jgm.2019031

start page

• 621

end page

• 637

volume

• 11

issue

• 4

URL

• http://dx.doi.org/10.3934/jgm.2019031